Answer:
500π in^3
Step-by-step explanation:
The radius is half the diameter, so the radius is 5 in. Since the height is four times that, the height is 20 in.
The equation for the volume of a cylinder is:

We can plug in the radius and height:

Synthetic division work with the coefficient of the given polynomial expression
We have
-15 -16 84 -17 -9 -15
and the divisor is:
x - ⁸/₅ = 0
x = ⁸/₅
Refer to the diagram below for the steps of synthetic division
Start by multiplying the first coefficient by the divisor, write the answer under the second coefficient, and then add the two values.
Repeat the steps until we use up all the remaining coefficients
The final values are the coefficients of the quotient and the last value is the reminder
Answer:
perimeter = 2(x + 5)
this is 2x + 10
x = 55 inches
Step-by-step explanation:
this question is a bit weird because they didn't put the units for 5, so I'm assuming it's in inches...
the perimeter of a rectangle will have two of each, so we can put the 2 outside the bracket since it applies to everything. We have x and we have 5 so put those in the bracket with a plus sign because you add when you're calculating the perimeter.
5 + 5 = 10
120 - 10 = 110 inches (this is 2x)
110 ÷ 2 = 55 inches
Answer:
B. isosceles triangle
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given:


Need:

First, let's look at the identities:
sum: 
difference: 
The question asks to find sin(A - B); therefore, we need to use the difference identity.
Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.
sin(A) = 
cos(A) = 
sin(B) = 
cos(B) = 
Plug these values into the difference identity formula.


Multiply.

Add.

This is your answer.
Hope this helps!